Academic literature on the topic 'Singular quadratic gradient term'

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Journal articles on the topic "Singular quadratic gradient term"

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Kumar, D., and J. Tyagi. "Singular elliptic equations with quadratic gradient term." Journal of Mathematical Analysis and Applications 502, no. 1 (2021): 125245. http://dx.doi.org/10.1016/j.jmaa.2021.125245.

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Porru, Giovanni, and Antonio Vitolo. "Problems for elliptic singular equations with a quadratic gradient term." Journal of Mathematical Analysis and Applications 334, no. 1 (2007): 467–86. http://dx.doi.org/10.1016/j.jmaa.2006.12.017.

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Zhou, Wenshu, Xiaodan Wei, and Xulong Qin. "Nonexistence of solutions for singular elliptic equations with a quadratic gradient term." Nonlinear Analysis: Theory, Methods & Applications 75, no. 15 (2012): 5845–50. http://dx.doi.org/10.1016/j.na.2012.06.001.

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Baraket, Sami, Imen Bazarbacha, Saber Kharrati, and Taieb Ouni. "Singular Limits for 2-Dimensional Elliptic Problem with Exponentially Dominated Nonlinearity and a Quadratic Convection Term." Analele Universitatii "Ovidius" Constanta - Seria Matematica 21, no. 1 (2013): 19–50. http://dx.doi.org/10.2478/auom-2013-0002.

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Abstract We study existence of solutions with singular limits for a two-dimensional semilinear elliptic problem with exponential dominated nonlinearity and a quadratic convection non linear gradient term, imposing Dirichlet boundary condition. This paper extends previous results obtained in [1], [3], [4] and some references therein for related issues.
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Giachetti, Daniela, Francesco Petitta, and Sergio Segura de León. "Elliptic equations having a singular quadratic gradient term and a changing sign datum." Communications on Pure and Applied Analysis 11, no. 5 (2012): 1875–95. http://dx.doi.org/10.3934/cpaa.2012.11.1875.

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Boccardo, Lucio. "Dirichlet problems with singular and gradient quadratic lower order terms." ESAIM: Control, Optimisation and Calculus of Variations 14, no. 3 (2008): 411–26. http://dx.doi.org/10.1051/cocv:2008031.

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Croce, Gisella. "An elliptic problem with degenerate coercivity and a singular quadratic gradient lower order term." Discrete & Continuous Dynamical Systems - S 5, no. 3 (2012): 507–30. http://dx.doi.org/10.3934/dcdss.2012.5.507.

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Benrhouma, Mohamed. "On a singular elliptic system with quadratic growth in the gradient." Journal of Mathematical Analysis and Applications 448, no. 2 (2017): 1120–46. http://dx.doi.org/10.1016/j.jmaa.2016.11.038.

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Arcoya, David, Sara Barile, and Pedro J. Martínez-Aparicio. "Singular quasilinear equations with quadratic growth in the gradient without sign condition." Journal of Mathematical Analysis and Applications 350, no. 1 (2009): 401–8. http://dx.doi.org/10.1016/j.jmaa.2008.09.073.

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Giarrusso, Ester, and Giovanni Porru. "Problems for elliptic singular equations with a gradient term." Nonlinear Analysis: Theory, Methods & Applications 65, no. 1 (2006): 107–28. http://dx.doi.org/10.1016/j.na.2005.08.007.

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Dissertations / Theses on the topic "Singular quadratic gradient term"

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Durastanti, Riccardo. "Nonlinear elliptic equations with singularities and elliptic systems." Doctoral thesis, 2019. http://hdl.handle.net/11573/1422581.

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This thesis is devoted to the study of nonlinear elliptic equations with homogeneous Dirichlet boundary conditions, with lower order terms that may be singular where the solution is zero and with irregular data, as well as of elliptic systems.
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Book chapters on the topic "Singular quadratic gradient term"

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Vitolo, Antonio. "Singular Problems With Quadratic Gradient Term." In Progress in Industrial Mathematics at ECMI 2006. Springer Berlin Heidelberg, 2008. http://dx.doi.org/10.1007/978-3-540-71992-2_160.

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Boccardo, Lucio, and Maria Michaela Porzio. "Bounded Solutions for a Class of Quasi-linear Parabolic Problems with a Quadratic Gradient Term." In Evolution Equations, Semigroups and Functional Analysis. Birkhäuser Basel, 2002. http://dx.doi.org/10.1007/978-3-0348-8221-7_3.

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Conference papers on the topic "Singular quadratic gradient term"

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Ren, Junjie, Ping Guo, and Zhouhua Wang. "Dynamical Analysis of Composite Reservoirs Considering Quadratic Gradient Term Based on Douglas-Jones Predictor-Corrector Method." In 2011 International Conference on Computational and Information Sciences (ICCIS). IEEE, 2011. http://dx.doi.org/10.1109/iccis.2011.138.

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Nie, Renshi, Yonglu Jia, Jia Yu, Bin Liu, and Yongliang Liu. "The Transient Well Test Analysis of Fractured-Vuggy Triple-Porosity Reservoir With the Quadratic Pressure Gradient Term." In Latin American and Caribbean Petroleum Engineering Conference. Society of Petroleum Engineers, 2009. http://dx.doi.org/10.2118/120927-ms.

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Luo, Xufang, Qi Meng, Di He, Wei Chen, and Yunhong Wang. "I4R: Promoting Deep Reinforcement Learning by the Indicator for Expressive Representations." In Twenty-Ninth International Joint Conference on Artificial Intelligence and Seventeenth Pacific Rim International Conference on Artificial Intelligence {IJCAI-PRICAI-20}. International Joint Conferences on Artificial Intelligence Organization, 2020. http://dx.doi.org/10.24963/ijcai.2020/370.

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Learning expressive representations is always crucial for well-performed policies in deep reinforcement learning (DRL). Different from supervised learning, in DRL, accurate targets are not always available, and some inputs with different actions only have tiny differences, which stimulates the demand for learning expressive representations. In this paper, firstly, we empirically compare the representations of DRL models with different performances. We observe that the representations of a better state extractor (SE) are more scattered than a worse one when they are visualized. Thus, we investigate the singular values of representation matrix, and find that, better SEs always correspond to smaller differences among these singular values. Next, based on such observations, we define an indicator of the representations for DRL model, which is the Number of Significant Singular Values (NSSV) of a representation matrix. Then, we propose I4R algorithm, to improve DRL algorithms by adding the corresponding regularization term to enhance the NSSV. Finally, we apply I4R to both policy gradient and value based algorithms on Atari games, and the results show the superiority of our proposed method.
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Colac¸o, Marcelo J., Helcio R. B. Orlande, George S. Dulikravich, and Fabio A. Rodrigues. "A Comparison of Two Solution Techniques for the Inverse Problem of Simultaneously Estimating the Spatial Variations of Diffusion Coefficients and Source Terms." In ASME 2003 International Mechanical Engineering Congress and Exposition. ASMEDC, 2003. http://dx.doi.org/10.1115/imece2003-42058.

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This work deals with the simultaneous estimation of the spatially varying diffusion coefficient and of the source term distribution in a one-dimensional nonlinear diffusion problem. This work can be physically associated with the detection of material non-homogeneities such as inclusions, obstacles or cracks, heat conduction, groundwater flow detection, and tomography. Two solution techniques are applied in this paper to the inverse problem under consideration, namely: the conjugate gradient method with adjoint problem and a hybrid optimization algorithm. The hybrid optimization technique incorporates several of the most popular optimization modules; the Davidon-Fletcher-Powell (DFP) gradient method, a genetic algorithm (GA), the Nelder-Mead (NM) simplex method, quasi-Newton algorithm of Pshenichny-Danilin (LM), differential evolution (DE), and sequential quadratic programming (SQP). The accuracy of the two solution approaches was examined by using simulated transient measurements containing random errors in the inverse analysis.
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Jakirlic´, S., and R. Jester-Zu¨rker. "Convective Heat Transfer in Wall-Bounded Flows Affected by Severe Fluid Properties Variation: A Second-Moment Closure Study." In ASME 2010 3rd Joint US-European Fluids Engineering Summer Meeting collocated with 8th International Conference on Nanochannels, Microchannels, and Minichannels. ASMEDC, 2010. http://dx.doi.org/10.1115/fedsm-icnmm2010-30729.

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Different flow configurations subjected to increasingly enhanced wall heating were selected to be computationally investigated by means of a differential, near-wall second-moment closure model based on the solution of transport equations for second moments of the fluctuating velocities and temperature, ui″uj″͠ and ui″θ͠ respectively. Both Reynolds stress model and heat flux model represent wall-topography free formulations with quadratic pressure-strain term and pressure-temperature-gradient correlation. The transport equations for the turbulent stress tensor and the turbulent heat flux are solved in conjunction with the equation governing a new scale supplying variable, so-called “homogeneous” dissipation rate, Jakirlic and Hanjalic (2002). Such an approach offers a number of important advantages: proper near-wall shape of the dissipation rate profile was obtained without introducing any additional term and the correct asymptotic behaviour of the stress dissipation components by approaching the solid wall is fulfilled automatically without necessity for any wall geometry-related parameter. The configurations considered include fully-developed and developing flows in channel (without and with a sudden expansion) and pipe in conjunction with the scalar transport under conditions of variable fluid properties for which an extensive experimental and numerical (DNS and LES) reference database exists.
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Radulescu, Victorita. "Application of the Neural Networks in Prediction of the Thermal Flow on the Jiu River." In ASME 2020 Heat Transfer Summer Conference collocated with the ASME 2020 Fluids Engineering Division Summer Meeting and the ASME 2020 18th International Conference on Nanochannels, Microchannels, and Minichannels. American Society of Mechanical Engineers, 2020. http://dx.doi.org/10.1115/ht2020-9043.

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Abstract Water temperature is an important parameter that influences the life near watercourses. The physical and chemical properties as the density and viscosity, gas solubility in water and in particular of the oxygen, the kinematics of the micro-biological and chemical phenomena affects not only the aquatic life but also the human life and animals living near the watercourse. In the Jiu river is discharged the water coming from the cooling towers of three thermo-electric power plants placed upstream. According to the recent researches realized by the EU Environmental Commission in Romania until 2050 the average temperature could rise by about 2°C. This paper presents the ability of a “neural networks” model to predict the water temperature in the lower part of the Jiu River. A database realized in over nine years in the measuring station Izbiceni, from the Olt County is used, concerning the water temperature (Tw) and the air temperature (Ta). The developed neural network is structured on five input variables and 9 hidden layers, 7 as sub-input and 2 as output. The stochastic time series is based on the separation of values for water Tw and air Ta in seasonal and daily fluctuations components. The schematic structure of the implemented neural network is presented, for obtaining the short-term and the seasonal components of the temperatures. The contact points are adjusted by the method of reprogramming after a gradient algorithm, in order to minimize the quadratic error between the output results and the relevant observed values. The performance of the neural network is based on estimation the thermal changes of the operation mode. For testing the numerical model, the calculations were performed using only the data recorded in nine years, in order to estimate a forecast for the next two years. The results are very close to the experimental recorded data and the obtained errors are less than 0.5°C. At the end of the paper are presented some results, conclusions and references.
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